Answer:
0.7208 = 72.08% probability that this whole shipment will be accepted.
Step-by-step explanation:
For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
4% rate of defects
This means that 
26 tablets
This means that 
What is the probability that this whole shipment will be accepted?
Probability that at most one tablet does not meet the specifications, which is:
Thus
Then
0.7208 = 72.08% probability that this whole shipment will be accepted.
Answer:
a. Identify the population of interest in this study.
- all the population of the country
b. Identify the sample for the study.
- 50 adults (the ones that were surveyed)
c. Identify the parameter of interest in the study.
- the parameter of interest is the people that believe that coffee shops are overpriced
d. Find and interpret a 95% confidence interval for the parameter of interest.
z score for a 95% confidence level = 1.96
margin of error (E) = z score x √{[0.4(1 - 0.4)] / 50} = 1.96 x 0.069282 = 0.13579
95% confidence level interval:
0.4 - 0.13579 = 0.26421
0.4 + 0.13579 = 0.53579
- 95% confidence interval (0.26421 , 0.53579)
If it bisect, then using the Line Bisector Theorem, it must be equal.
So x+6=4x-21
get like terms on 1 side
x+6=4x-21
-x. +21
27= 3x
x=9
plug the x in
CD= 9+6
CD=15
Answer:
m<HGI=21°
Step-by-step explanation:
we know that
If GH bisects m<FGI then
m<FGH=m<HGI
substitute the values
(2x+1)°=(3x-9)°
solve for x
3x-2x=1+9
x=10°
The measure of angle HGI is equal to
(3x-9)° ------> substitute the value of x
3*10-9=21°
m<HGI=21°
Answer:
<em>The SUV is running at 70 km/h</em>
Step-by-step explanation:
<u>Speed As Rate Of Change
</u>
The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.
This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:
To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:
Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)
We'll compute :
We know d'=20 km/h, so we can solve for x' and find the speed of the SUV
Thus we have
Solving for x'
Since y'=-60
The SUV is running at 70 km/h
